Few-atom 3He–4He mixed molecules

Nakaichi, S.; Lim, T. K.; Akaishi, Yoshinori; Tanaka, Hajime

doi:10.1063/1.438195

Cited by 20 publications

(12 citation statements)

References 10 publications

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“…With the exception of the studies on the trimers 4 He 3 , 4 He 2 3 He, and 4 He 3 He 2 , 20-26 results for other small systems are scattered 27,28 and, to our knowledge, there are no accurate investigations using one of the modern helium-helium interaction potentials.…”

Section: Introductionmentioning

confidence: 94%

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Quantum Monte Carlo investigation of small He4 clusters with a He3 impurity

Bressanini

Zavaglia

Mella

et al. 2000

The Journal of Chemical Physics

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Structure and energetics of small helium clusters: Quantum simulations using a recent perturbational pair potential Small helium ( 4 He) clusters containing the lighter isotope 3 He are studied by means of quantum Monte Carlo methods. Accurate ground state energies and structural properties are obtained using accurate trial wave functions and the Tang-Tonnies-Yiu ͑TTY͒ helium-helium pair potential. The dimer 4 He-3 He is not bound; as well as the trimer 4 He 3 He 2 . The smallest cluster containing 3 He is 4 He 2 3 He with a nonrigid structure having a marked linear contribution. Interestingly, this weakly bound system, with an energy one order of magnitude less than the 4 He 3 trimer, is able to bind another 3 He atom, forming the tetramer 4 He 2 3 He 2 , which shows the odd feature of having five out of six unbound pairs. In general, the substitution of a single 4 He atom in a pure cluster with a 3 He atom leads to an energetic destabilization, as the pair 4 He-3 He is not bound. The isotopic impurity is found to perturb only weakly the distributions of the remaining 4 He atoms, which retain the high floppiness already found in the pure clusters. As the number of atoms increases the isotopic impurity has the marked tendency to stay on the surface of the cluster. This behavior is consistent with the formation of the so-called ''Andreev states'' of a single 3 He in liquid 4 He helium and droplets, where the impurity tends to form single-particle states on the surface of the pure 4 He.

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Section: Introductionmentioning

confidence: 94%

“…This confirms the findings of other previous works. 22,23,28 The trimer 4 He 2 3 He instead is a stable entity, albeit very weakly bound. Its total energy is one order of magnitude smaller than the pure trimer 4 He 3 .…”

Section: ͑7͒mentioning

confidence: 99%

Quantum Monte Carlo investigation of small He4 clusters with a He3 impurity

Bressanini

Zavaglia

Mella

et al. 2000

The Journal of Chemical Physics

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“…For example, although one expects a new momentum scale µ (4) to be needed for the description of universal properties of the tetramer [14,48], there is evidence that at least some observables of the tetramer near threshold are independent of this new momentum scale [8]. In this context, a number of studies have focused on the Tjon line [4,49,50,51,52], which was first investigated in nuclear physics and refers to the approximately linear correlation between the energies of the fournucleon and the three-nucleon system [51,52]. In the following, correlations between our trimer and tetramer energies, which are calculated for realistic atom-atom interactions, are demonstrated.…”

Section: Correlationsmentioning

confidence: 99%

“…The good agreement lends support to the predictive power of the approximately linear correlations between energy ratios of clusters with varying number of atoms. Correlations between the energies of two clusters differing in size by one atom, i.e., a linear relationship of the form E N +1 = b N + c N E N , have been predicted analytically based on a separable approximation scheme for any cluster size [53] and numerically by performing variational calculations for small mixed 3 He i -4 He j clusters with i + j ≤ 5 [50]. We find that our energies of clusters differing in size by one atom are not well described by such a linear two-parameter fit.…”

Section: Correlationsmentioning

confidence: 99%

Energetics and structural properties of three-dimensional bosonic clusters near threshold

Hanna

Blume

2006

Phys. Rev. A

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We treat three-dimensional bosonic clusters with up to N = 40 atoms, interacting additively through two-body Van der Waals potentials, in the near-threshold regime. Our study includes super-borromean systems with N atoms for which all subsystems are unbound. We determine the energetics and structural properties such as the expectation value of the interparticle distance as a function of the coupling strength. It has been shown that the coupling strength g (N) *

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“…18 Larger combinations of 3 He and 4 He atoms have been studied employing a nonlocal finite-range density functional. 14,19,20 Previous variational microscopic studies of these mixed systems have been carried out for the 4 He 2 -3 He 2 cluster, 21 and for clusters with N B ഛ 8 and N F ഛ 20. 5 More recently, the diffusion Monte Carlo ͑DMC͒ method has been applied to droplets with N F ഛ 3 and N B ഛ 17 in Refs.…”

Section: Introductionmentioning

confidence: 99%

The spectra of mixed He3–He4 droplets

Fantoni

Guardiola²,

Navarro

et al. 2005

The Journal of Chemical Physics

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The diffusion Monte Carlo technique is used to calculate and analyze the excitation spectrum of 3 He atoms bound to a cluster of 4 He atoms by using a previously determined optimum filling of single-fermion orbits with well-defined orbital angular momentum L, spin S, and parity quantum numbers. The study concentrates on the energies and shapes of the three kinds of states for which the fermionic part of the wave function is a single Slater determinant: maximum L or maximum S states within a given orbit, and fully polarized clusters. The picture that emerges is that of systems with strong shell effects, whose binding and excitation energies are essentially determined by averages over configuration at fixed number of particles and spin, i.e., by the monopole properties of an effective Hamiltonian.

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Few-atom 3He–4He mixed molecules

Cited by 20 publications

References 10 publications

Quantum Monte Carlo investigation of small He4 clusters with a He3 impurity

Quantum Monte Carlo investigation of small He4 clusters with a He3 impurity

Energetics and structural properties of three-dimensional bosonic clusters near threshold

The spectra of mixed He3–He4 droplets

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